The Spaniard struggled to make an impact upon making his move to Stamford Bridge from Atletico Madrid on loan in the summer.
But Saul has started in both of Chelsea’s last two matches – Cup victories over Tottenham and Chesterfield.
Tuchel sees the midfielder growing in confidence and having more of an impact on games compared to earlier in the season.
‘I think he will be an important player for us and I hope so as well,’ Tuchel said.
‘The game against Tottenham was a huge step forward for Saul and he showed what he can do with his abilities.
‘Against Chesterfield he was part of a strong squad. Okay, it was against a fifth division side so there was no need for us to be overran in midfield but he still did well with his performance.
‘I see more confidence in him with each game, he is in good shape and his adaptation to the way we play has gone further from before.
‘You can see this in his game now. He is more open, he understands the language better now and these are all important things to consider when talking about Saul and how much he has improved recently.
‘He is having much more impact on games than he was doing at the beginning of the season and this is very important because I’m convinced we will need every player to compete in every competition from now until the end of the season, especially at the moment where we are playing every three days.’
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